0.12/0.15 % Problem : Vampire---4.8_10407 : TPTP v0.0.0. Released v0.0.0. 0.12/0.16 % Command : run_E %s %d THM 0.17/0.38 % Computer : n011.cluster.edu 0.17/0.38 % Model : x86_64 x86_64 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.38 % Memory : 8042.1875MB 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.17/0.38 % CPULimit : 1440 0.17/0.38 % WCLimit : 180 0.17/0.38 % DateTime : Mon Jul 3 12:58:39 EDT 2023 0.17/0.38 % CPUTime : 0.23/0.55 Running higher-order theorem provingRunning: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.aoaVbYtln0/Vampire---4.8_10407 0.23/0.55 # Version: 3.1pre001-ho 0.39/0.83 # Preprocessing class: HSLSSMSSSSSNHSA. 0.39/0.83 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.39/0.83 # Starting full_lambda_9 with 900s (5) cores 0.39/0.83 # Starting new_ho_11 with 180s (1) cores 0.39/0.83 # Starting sh2l with 180s (1) cores 0.39/0.83 # Starting new_bool_6 with 180s (1) cores 0.39/0.83 # full_lambda_9 with pid 10585 completed with status 0 0.39/0.83 # Result found by full_lambda_9 0.39/0.83 # Preprocessing class: HSLSSMSSSSSNHSA. 0.39/0.83 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.39/0.83 # Starting full_lambda_9 with 900s (5) cores 0.39/0.83 # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true) 0.39/0.83 # Search class: HGHSM-FSLM32-DHSFFSBN 0.39/0.83 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.39/0.83 # Starting full_lambda_3 with 415s (1) cores 0.39/0.83 # Starting full_lambda_9 with 91s (1) cores 0.39/0.83 # Starting pre_casc_4 with 123s (1) cores 0.39/0.83 # Starting lpo5_fix with 82s (1) cores 0.39/0.83 # Starting new_bool_12 with 82s (1) cores 0.39/0.83 # pre_casc_4 with pid 10593 completed with status 0 0.39/0.83 # Result found by pre_casc_4 0.39/0.83 # Preprocessing class: HSLSSMSSSSSNHSA. 0.39/0.83 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.39/0.83 # Starting full_lambda_9 with 900s (5) cores 0.39/0.83 # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true) 0.39/0.83 # Search class: HGHSM-FSLM32-DHSFFSBN 0.39/0.83 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.39/0.83 # Starting full_lambda_3 with 415s (1) cores 0.39/0.83 # Starting full_lambda_9 with 91s (1) cores 0.39/0.83 # Starting pre_casc_4 with 123s (1) cores 0.39/0.83 # Preprocessing time : 0.013 s 0.39/0.83 # Presaturation interreduction done 0.39/0.83 0.39/0.83 # Proof found! 0.39/0.83 # SZS status Theorem 0.39/0.83 # SZS output start CNFRefutation 0.39/0.83 thf(decl_28, type, listIn1312259492pend_a: list_a > (nat > a) > nat > a). 0.39/0.83 thf(decl_33, type, nth_a: list_a > nat > a). 0.39/0.83 thf(decl_36, type, suc: nat > nat). 0.39/0.83 thf(decl_38, type, size_size_list_a: list_a > nat). 0.39/0.83 thf(decl_39, type, ord_less_nat: nat > nat > $o). 0.39/0.83 thf(decl_40, type, ord_less_eq_nat: nat > nat > $o). 0.39/0.83 thf(decl_41, type, f: nat > a). 0.39/0.83 thf(decl_42, type, g: nat > a). 0.39/0.83 thf(decl_43, type, xs: list_a). 0.39/0.83 thf(decl_44, type, ys: list_a). 0.39/0.83 thf(decl_45, type, esk1_0: nat). 0.39/0.83 thf(fact_45_dual__order_Ostrict__trans, axiom, ![X23:nat, X21:nat, X24:nat]:((((ord_less_nat @ X24 @ X21)<=(ord_less_nat @ X24 @ X23))<=(ord_less_nat @ X23 @ X21))), file('/export/starexec/sandbox/tmp/tmp.aoaVbYtln0/Vampire---4.8_10407', fact_45_dual__order_Ostrict__trans)). 0.39/0.83 thf(conj_2, conjecture, ![X17:nat]:((((nth_a @ xs @ X17)=(nth_a @ ys @ X17))|~((ord_less_nat @ X17 @ (size_size_list_a @ xs))))), file('/export/starexec/sandbox/tmp/tmp.aoaVbYtln0/Vampire---4.8_10407', conj_2)). 0.39/0.83 thf(fact_215_less__Suc__eq__le, axiom, ![X2:nat, X1:nat]:(((ord_less_nat @ X2 @ (suc @ X1))<=>(ord_less_eq_nat @ X2 @ X1))), file('/export/starexec/sandbox/tmp/tmp.aoaVbYtln0/Vampire---4.8_10407', fact_215_less__Suc__eq__le)). 0.39/0.83 thf(fact_197_less__antisym, axiom, ![X1:nat, X2:nat]:((((ord_less_nat @ X1 @ (suc @ X2))=>((X2)=(X1)))<=~((ord_less_nat @ X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.aoaVbYtln0/Vampire---4.8_10407', fact_197_less__antisym)). 0.39/0.83 thf(conj_1, hypothesis, (ord_less_eq_nat @ (size_size_list_a @ xs) @ (size_size_list_a @ ys)), file('/export/starexec/sandbox/tmp/tmp.aoaVbYtln0/Vampire---4.8_10407', conj_1)). 0.39/0.83 thf(fact_3_i__append__nth1, axiom, ![X1:nat, X107:list_a, X108:nat > a]:((((listIn1312259492pend_a @ X107 @ X108 @ X1)=(nth_a @ X107 @ X1))<=(ord_less_nat @ X1 @ (size_size_list_a @ X107)))), file('/export/starexec/sandbox/tmp/tmp.aoaVbYtln0/Vampire---4.8_10407', fact_3_i__append__nth1)). 0.39/0.83 thf(fact_117_not__less, axiom, ![X9:nat, X10:nat]:((~((ord_less_nat @ X9 @ X10))<=>(ord_less_eq_nat @ X10 @ X9))), file('/export/starexec/sandbox/tmp/tmp.aoaVbYtln0/Vampire---4.8_10407', fact_117_not__less)). 0.39/0.83 thf(conj_0, hypothesis, ![X20:nat]:(((listIn1312259492pend_a @ xs @ f @ X20)=(listIn1312259492pend_a @ ys @ g @ X20))), file('/export/starexec/sandbox/tmp/tmp.aoaVbYtln0/Vampire---4.8_10407', conj_0)). 0.39/0.83 thf(c_0_8, plain, ![X23:nat, X21:nat, X24:nat]:(((ord_less_nat @ X23 @ X21)=>((ord_less_nat @ X24 @ X23)=>(ord_less_nat @ X24 @ X21)))), inference(fof_simplification,[status(thm)],[fact_45_dual__order_Ostrict__trans])). 0.39/0.83 thf(c_0_9, negated_conjecture, ~(![X17:nat]:((((nth_a @ xs @ X17)=(nth_a @ ys @ X17))|~(ord_less_nat @ X17 @ (size_size_list_a @ xs))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_2])])). 0.39/0.83 thf(c_0_10, plain, ![X1275:nat, X1276:nat, X1277:nat]:((~(ord_less_nat @ X1275 @ X1276)|(~(ord_less_nat @ X1277 @ X1275)|(ord_less_nat @ X1277 @ X1276)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])). 0.39/0.83 thf(c_0_11, negated_conjecture, (((nth_a @ xs @ esk1_0)!=(nth_a @ ys @ esk1_0))&(ord_less_nat @ esk1_0 @ (size_size_list_a @ xs))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])). 0.39/0.83 thf(c_0_12, plain, ![X760:nat, X761:nat]:(((~(ord_less_nat @ X760 @ (suc @ X761))|(ord_less_eq_nat @ X760 @ X761))&(~(ord_less_eq_nat @ X760 @ X761)|(ord_less_nat @ X760 @ (suc @ X761))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_215_less__Suc__eq__le])])). 0.39/0.83 thf(c_0_13, plain, ![X1:nat, X2:nat]:((~(ord_less_nat @ X1 @ X2)=>((ord_less_nat @ X1 @ (suc @ X2))=>((X2)=(X1))))), inference(fof_simplification,[status(thm)],[fact_197_less__antisym])). 0.39/0.83 thf(c_0_14, plain, ![X3:nat, X2:nat, X1:nat]:(((ord_less_nat @ X3 @ X2)|~((ord_less_nat @ X1 @ X2))|~((ord_less_nat @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.39/0.83 thf(c_0_15, negated_conjecture, (ord_less_nat @ esk1_0 @ (size_size_list_a @ xs)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.39/0.83 thf(c_0_16, plain, ![X1:nat, X2:nat]:(((ord_less_nat @ X1 @ (suc @ X2))|~((ord_less_eq_nat @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.39/0.83 thf(c_0_17, hypothesis, (ord_less_eq_nat @ (size_size_list_a @ xs) @ (size_size_list_a @ ys)), inference(split_conjunct,[status(thm)],[conj_1])). 0.39/0.83 thf(c_0_18, plain, ![X1:nat, X107:list_a, X108:nat > a]:(((ord_less_nat @ X1 @ (size_size_list_a @ X107))=>((listIn1312259492pend_a @ X107 @ X108 @ X1)=(nth_a @ X107 @ X1)))), inference(fof_simplification,[status(thm)],[fact_3_i__append__nth1])). 0.39/0.83 thf(c_0_19, plain, ![X1073:nat, X1074:nat]:(((ord_less_nat @ X1073 @ X1074)|(~(ord_less_nat @ X1073 @ (suc @ X1074))|((X1074)=(X1073))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])). 0.39/0.83 thf(c_0_20, negated_conjecture, ![X1:nat]:(((ord_less_nat @ esk1_0 @ X1)|~((ord_less_nat @ (size_size_list_a @ xs) @ X1)))), inference(spm,[status(thm)],[c_0_14, c_0_15])). 0.39/0.83 thf(c_0_21, hypothesis, (ord_less_nat @ (size_size_list_a @ xs) @ (suc @ (size_size_list_a @ ys))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 0.39/0.83 thf(c_0_22, plain, ![X9:nat, X10:nat]:((~(ord_less_nat @ X9 @ X10)<=>(ord_less_eq_nat @ X10 @ X9))), inference(fof_simplification,[status(thm)],[fact_117_not__less])). 0.39/0.83 thf(c_0_23, plain, ![X1043:nat, X1044:list_a, X1045:nat > a]:((~(ord_less_nat @ X1043 @ (size_size_list_a @ X1044))|((listIn1312259492pend_a @ X1044 @ X1045 @ X1043)=(nth_a @ X1044 @ X1043)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])). 0.39/0.83 thf(c_0_24, plain, ![X1:nat, X2:nat]:(((ord_less_nat @ X1 @ X2)|((X2)=(X1))|~((ord_less_nat @ X1 @ (suc @ X2))))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.39/0.83 thf(c_0_25, hypothesis, (ord_less_nat @ esk1_0 @ (suc @ (size_size_list_a @ ys))), inference(spm,[status(thm)],[c_0_20, c_0_21])). 0.39/0.83 thf(c_0_26, plain, ![X771:nat, X772:nat]:((((ord_less_nat @ X771 @ X772)|(ord_less_eq_nat @ X772 @ X771))&(~(ord_less_eq_nat @ X772 @ X771)|~(ord_less_nat @ X771 @ X772)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])). 0.39/0.83 thf(c_0_27, hypothesis, ![X759:nat]:(((listIn1312259492pend_a @ xs @ f @ X759)=(listIn1312259492pend_a @ ys @ g @ X759))), inference(variable_rename,[status(thm)],[conj_0])). 0.39/0.83 thf(c_0_28, plain, ![X1:nat, X85:nat > a, X15:list_a]:((((listIn1312259492pend_a @ X15 @ X85 @ X1)=(nth_a @ X15 @ X1))|~((ord_less_nat @ X1 @ (size_size_list_a @ X15))))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.39/0.83 thf(c_0_29, hypothesis, (((size_size_list_a @ ys)=(esk1_0))|(ord_less_nat @ esk1_0 @ (size_size_list_a @ ys))), inference(spm,[status(thm)],[c_0_24, c_0_25])). 0.39/0.83 thf(c_0_30, plain, ![X2:nat, X1:nat]:((~((ord_less_eq_nat @ X1 @ X2))|~((ord_less_nat @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_26])). 0.39/0.83 thf(c_0_31, hypothesis, ![X1:nat]:(((listIn1312259492pend_a @ xs @ f @ X1)=(listIn1312259492pend_a @ ys @ g @ X1))), inference(split_conjunct,[status(thm)],[c_0_27])). 0.39/0.83 thf(c_0_32, hypothesis, ![X85:nat > a]:((((listIn1312259492pend_a @ ys @ X85 @ esk1_0)=(nth_a @ ys @ esk1_0))|((size_size_list_a @ ys)=(esk1_0)))), inference(spm,[status(thm)],[c_0_28, c_0_29])). 0.39/0.83 thf(c_0_33, negated_conjecture, ![X85:nat > a]:(((listIn1312259492pend_a @ xs @ X85 @ esk1_0)=(nth_a @ xs @ esk1_0))), inference(spm,[status(thm)],[c_0_28, c_0_15])). 0.39/0.83 thf(c_0_34, negated_conjecture, ((nth_a @ xs @ esk1_0)!=(nth_a @ ys @ esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.39/0.83 thf(c_0_35, hypothesis, ~((ord_less_nat @ (size_size_list_a @ ys) @ (size_size_list_a @ xs))), inference(spm,[status(thm)],[c_0_30, c_0_17])). 0.39/0.83 thf(c_0_36, hypothesis, ((size_size_list_a @ ys)=(esk1_0)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33]), c_0_34])). 0.39/0.83 thf(c_0_37, hypothesis, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36]), c_0_15])]), ['proof']). 0.39/0.83 # SZS output end CNFRefutation 0.39/0.83 # Parsed axioms : 282 0.39/0.83 # Removed by relevancy pruning/SinE : 42 0.39/0.83 # Initial clauses : 573 0.39/0.83 # Removed in clause preprocessing : 15 0.39/0.83 # Initial clauses in saturation : 558 0.39/0.83 # Processed clauses : 1225 0.39/0.83 # ...of these trivial : 17 0.39/0.83 # ...subsumed : 245 0.39/0.83 # ...remaining for further processing : 963 0.39/0.83 # Other redundant clauses eliminated : 56 0.39/0.83 # Clauses deleted for lack of memory : 0 0.39/0.83 # Backward-subsumed : 2 0.39/0.83 # Backward-rewritten : 46 0.39/0.83 # Generated clauses : 6686 0.39/0.83 # ...of the previous two non-redundant : 6400 0.39/0.83 # ...aggressively subsumed : 0 0.39/0.83 # Contextual simplify-reflections : 2 0.39/0.83 # Paramodulations : 6569 0.39/0.83 # Factorizations : 6 0.39/0.83 # NegExts : 2 0.39/0.83 # Equation resolutions : 65 0.39/0.83 # Total rewrite steps : 449 0.39/0.83 # Propositional unsat checks : 0 0.39/0.83 # Propositional check models : 0 0.39/0.83 # Propositional check unsatisfiable : 0 0.39/0.83 # Propositional clauses : 0 0.39/0.83 # Propositional clauses after purity: 0 0.39/0.83 # Propositional unsat core size : 0 0.39/0.83 # Propositional preprocessing time : 0.000 0.39/0.83 # Propositional encoding time : 0.000 0.39/0.83 # Propositional solver time : 0.000 0.39/0.83 # Success case prop preproc time : 0.000 0.39/0.83 # Success case prop encoding time : 0.000 0.39/0.83 # Success case prop solver time : 0.000 0.39/0.83 # Current number of processed clauses : 479 0.39/0.83 # Positive orientable unit clauses : 86 0.39/0.83 # Positive unorientable unit clauses: 1 0.39/0.83 # Negative unit clauses : 66 0.39/0.83 # Non-unit-clauses : 326 0.39/0.83 # Current number of unprocessed clauses: 6092 0.39/0.83 # ...number of literals in the above : 24441 0.39/0.83 # Current number of archived formulas : 0 0.39/0.83 # Current number of archived clauses : 442 0.39/0.83 # Clause-clause subsumption calls (NU) : 76637 0.39/0.83 # Rec. Clause-clause subsumption calls : 13156 0.39/0.83 # Non-unit clause-clause subsumptions : 166 0.39/0.83 # Unit Clause-clause subsumption calls : 1655 0.39/0.83 # Rewrite failures with RHS unbound : 0 0.39/0.83 # BW rewrite match attempts : 35 0.39/0.83 # BW rewrite match successes : 5 0.39/0.83 # Condensation attempts : 0 0.39/0.83 # Condensation successes : 0 0.39/0.83 # Termbank termtop insertions : 206201 0.39/0.83 0.39/0.83 # ------------------------------------------------- 0.39/0.83 # User time : 0.244 s 0.39/0.83 # System time : 0.018 s 0.39/0.83 # Total time : 0.262 s 0.39/0.83 # Maximum resident set size: 4196 pages 0.39/0.83 0.39/0.83 # ------------------------------------------------- 0.39/0.83 # User time : 1.134 s 0.39/0.83 # System time : 0.047 s 0.39/0.83 # Total time : 1.181 s 0.39/0.83 # Maximum resident set size: 2156 pages 0.39/0.83 % E---3.1 exiting 0.39/0.83 EOF